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182148340 = 225115914033
BaseRepresentation
bin10101101101101…
…01110011110100
3110200202002112211
422312311303310
5333112221330
630024023204
74341143503
oct1266656364
9420662484
10182148340
11938aa820
1251001b04
132b9769aa
141a29683a
1510eced2a
hexadb5cf4

182148340 has 48 divisors (see below), whose sum is σ = 424388160. Its totient is φ = 65108480.

The previous prime is 182148313. The next prime is 182148341. The reversal of 182148340 is 43841281.

182148340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182148341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5964 + ... + 19996.

It is an arithmetic number, because the mean of its divisors is an integer number (8841420).

Almost surely, 2182148340 is an apocalyptic number.

182148340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182148340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212194080).

182148340 is an abundant number, since it is smaller than the sum of its proper divisors (242239820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

182148340 is a wasteful number, since it uses less digits than its factorization.

182148340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14112 (or 14110 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 182148340 is about 13496.2342896083. The cubic root of 182148340 is about 566.8590342662.

The spelling of 182148340 in words is "one hundred eighty-two million, one hundred forty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 2596 3245 6490 12980 14033 28066 56132 70165 140330 154363 280660 308726 617452 771815 827947 1543630 1655894 3087260 3311788 4139735 8279470 9107417 16558940 18214834 36429668 45537085 91074170 182148340